1. **State the problem:** Simplify the expression $$\frac{x^7 y^4}{x^2 y}$$. 2. **Recall the exponent rules:** When dividing like bases, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$. 3. **Apply the rule to the x terms:** $$\frac{x^7}{x^2} = x^{7-2} = x^5$$. 4. **Apply the rule to the y terms:** $$\frac{y^4}{y^1} = y^{4-1} = y^3$$. 5. **Combine the simplified terms:** $$x^5 y^3$$. 6. **Final answer:** The simplified expression is $$x^5 y^3$$.